Find the slope of the line The slope is m=

The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a

patriot [66]

Answer:

Step-by-step explanation:

Hello!

Your study variable is X: "number of ColorSmart-5000 that didn't need repairs after 5 years of use, in a sample of 390"

X~Bi (n;ρ)

ρ: population proportion of ColorSmart-5000 that didn't need repairs after 5 years of use. ρ = 0.95

n= 390

x= 303

sample proportion ^ρ: x/n = 303/390 = 0.776 ≅ 0.78

Applying the Central Limit Theorem you approximate the distribution of the sample proportion to normal to obtain the statistic to use.

You are asked to estimate the population proportion of televisions that didn't require repairs with a confidence interval, the formula is:

^ρ± $Z_{1-\alpha /2}$ * √[(^ρ(1-^ρ))/n]

$Z_{1-\alpha /2}$ = $Z_{0.995}$ = 2.58

0.78±2.58* √[(0.78(1-0.78))/390]

0.0541

[0.726;0.834]

With a confidence level of 99% you'd expect that the interval [0.726;0.834] contains the true value of the proportion of ColorSmart-5000 that didn't need repairs after 5 years of use.

I hope it helps!

7 0

3 years ago

Find the product. Simplify your answer x^2-y^2/6*12/x-y

Ratling [72]

= x^2 - y^2/6 * 12/(x-y)
= 6x^2 -y^2 * 72/(x-y)
= 6x^2(x-y) -y^2(x-y) * 72
= 6x^3 - 18x^2 -xy^2 + y^3 * 72
= 432x^3 - 1296x^2 -72xy^2 + 72y^3

5 0

3 years ago

What operation do you use to find the power of bases please answer quick

Rufina [12.5K]

I believe its exponent

6 0

2 years ago

The rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point B, parallel to the front fac

kodGreya [7K]

The dimensions of the rectangular cross section will be 10 centimeters by 18 centimeters

Step-by-step explanation:

As ,we know

The rectangular cross section is parallel to the front face

Which clearly states that

The dimensions of the rectangular cross section is congruent with the dimensions of the front face

Lets assume that dimensions of the front face are 10 centimeters by 18 centimeters

Then ,The dimensions of the cross section will also be 10 centimeters by 18 centimeters

Hence we can say that the dimensions of the rectangular cross section will be 10 centimeters by 18 centimeters

4 0

3 years ago

Find the value. 9x+6 when x=-2/3

OLEGan [10]

Answer:

Step-by-step explanation:

Given,

$- \frac{2}{3}$

Now, let's find the value of 9x + 6

$9x + 6$

plug the value of X

$= 9 \times (- \frac{2}{3} ) + 6$

Multiplying a positive and negative equals a negative

$( + ) \times ( - ) = ( - )$

$= - 9 \times \frac{2}{3} + 6$

Reduce the number with Greatest Common Factor 3

$= - 3 \times 2 + 6$

Multiply the numbers

$= - 6 + 6$

The sum of two opposites equals 0

$= 0$

Hope this helps..

best regards!!

7 0

3 years ago